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Simplifying ln(3x + 1) = ln(x + 1) Reorder the terms: ln(1 + 3x) = ln(x + 1) (1 * ln + 3x * ln) = ln(x + 1) (1ln + 3lnx) = ln(x + 1) Reorder the terms: 1ln + 3lnx = ln(1 + x) 1ln + 3lnx = (1 * ln + x * ln) 1ln + 3lnx = (1ln + lnx) Add '-1ln' to each side of the equation. 1ln + -1ln + 3lnx = 1ln + -1ln + lnx Combine like terms: 1ln + -1ln = 0 0 + 3lnx = 1ln + -1ln + lnx 3lnx = 1ln + -1ln + lnx Combine like terms: 1ln + -1ln = 0 3lnx = 0 + lnx 3lnx = lnx Solving 3lnx = lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-1lnx' to each side of the equation. 3lnx + -1lnx = lnx + -1lnx Combine like terms: 3lnx + -1lnx = 2lnx 2lnx = lnx + -1lnx Combine like terms: lnx + -1lnx = 0 2lnx = 0 Divide each side by '2'. lnx = 0 Simplifying lnx = 0 The solution to this equation could not be determined.
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